100110211010019 has 48 divisors (see below), whose sum is σ = 169294512651264. Its totient is φ = 55809763401600.

The previous prime is 100110211010011. The next prime is 100110211010041. The reversal of 100110211010019 is 910010112011001.

It is not a de Polignac number, because 100110211010019 - 2³ = 100110211010011 is a prime.

It is a super-2 number, since 2×100110211010019² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110211009983 and 100110211010010.

It is not an unprimeable number, because it can be changed into a prime (100110211010011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208422604 + ... + 208902374.

It is an arithmetic number, because the mean of its divisors is an integer number (3526969013568).

Almost surely, 2^{100110211010019} is an apocalyptic number.

100110211010019 is a deficient number, since it is larger than the sum of its proper divisors (69184301641245).

100110211010019 is a wasteful number, since it uses less digits than its factorization.

100110211010019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560608 (or 560605 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 100110211010019 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, ten thousand, nineteen".